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Finding the Fourth Proportional to 65,212.88, 97,790.83 and 23,078.96

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Solution

The fourth proportional to 65,212.88, 97,790.83 and 23,078.96 is: 34,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.88 : 97,790.83 = 23,078.96 : x
  2. Step 2: Convert to fraction form
    65,212.88/97,790.83 = 23,078.96/x
  3. Step 3: Cross multiply
    65,212.88x = 97,790.83 × 23,078.96
  4. Step 4: Simplify right side
    65,212.88x = 2,256,910,474.00
  5. Step 5: Solve for x
    x = 2,256,910,474.00/65,212.88
  6. Step 6: Final answer
    x = 34,608.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.